<p>Your best shot would be at Cornell and perhaps UPenn if you applied there. You should also consider a few top LACs – they tend to get fewer male applicants than female ones, so your acceptance odds would be above the median acceptance rate.</p>
<p>The problem with HYPSM is that they can expect perfect academic stats plus national awards or multiple key leadership roles or the publication of peer-reviewed articles. My son, for example, had perfect academic stats (36 ACT, 1/400 class rank, dual 800 SAT IIs, and National AP Scholar) plus multiple leadership roles and “best of my career” type letters of recommendation. He was turned down by both MIT and Yale, although he did get into Brown, Williams, Amherst and Northwestern.</p>
<p>Of course you should apply to those schools, but you’ll need to have something distinctive to stand out from the final round of competition. If you can determine what that could be, spend the summer developing it as much as you can and continue to do so during the fall.</p>